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Find the midpoint of the segment with the given endpoints (5,-9) and (-2,-2)

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Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points
(x_1,y_1) and
(x_2,y_2) is


\left((x_1+x_2)/(2),(y_1+y_2)/(2) \right)

So the midpoint of your segment is


\left((5+(-2))/(2),(-9+(-2))/(2)\right) = \left((3)/(2),-(11)/(2) \right)

Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.
User Jason Lam
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